Least Common Multiple of 60/489, 906/969, 849/331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/489, 906/969, 849/331 quickly i.e. 2563980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/489, 906/969, 849/331 is 2563980.

LCM(60/489, 906/969, 849/331) = 2563980

LCM of 60/489, 906/969, 849/331

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 60/489,906/969,849/331

Given numbers are 60/489,906/969,849/331

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 60,906,849

Least Common Multiple of Numerators i.e. LCM of 60,906,849 is 2563980.

GCF of Denominators means GCF of 489,969,331 as per the given fractions.

GCF of 489,969,331 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,906,849

LCM of Fractions 60/489,906/969,849/331 is 2563980

2 60, 906, 849
3 30, 453, 849
10, 151, 283

∴ So the LCM of the given numbers is 2 x 3 x 10 x 151 x 283 = 2563980

Least Common Multiple of 60,906,849 with GCF Formula

Least Common Multiple of 60,906,849 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 60,906,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,906,849) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(60,906,849) x common factors =3 x 6 = 18

LCM(60,906,849) = ( 60 × 906 × 849 ) / 18

LCM(60,906,849) = 46151640 / 18

LCM(60,906,849) = 2563980


Lets's calculate GCF of 489,969,331

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2563980/1

Therefore the LCM of Fractions 60/489,906/969,849/331 is 2563980

Greatest Common Factor of 489,969,331 By Matching Biggest Common Factor Method

Greatest Common Factor of 489,969,331 By Matching Biggest Common Factor Method

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Greatest Common Factor

We found the factors 489,969,331 . The biggest common factor number is the GCF number.
So the greatest common factor 489,969,331 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 60/489, 906/969, 849/331

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 60/489, 906/969, 849/331?

Answer: LCM of Numerators as per given numbers 60/489, 906/969, 849/331 is

LCM of Numerators i.e. for 60,906,849 is 2563980

GCF of denominators i.e. for 489,969,331 is 1.

Thus, LCM of Fractions is 2563980.Finally, LCM of Fractions for 60/489, 906/969, 849/331 is 2563980.